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Finding the Fourth Proportional to 6,064, 9,097.44 and 1,960

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Solution

The fourth proportional to 6,064, 9,097.44 and 1,960 is: 2,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064 : 9,097.44 = 1,960 : x
  2. Step 2: Convert to fraction form
    6,064/9,097.44 = 1,960/x
  3. Step 3: Cross multiply
    6,064x = 9,097.44 × 1,960
  4. Step 4: Simplify right side
    6,064x = 17,830,982.40
  5. Step 5: Solve for x
    x = 17,830,982.40/6,064
  6. Step 6: Final answer
    x = 2,940.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.